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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 44 · 40 questions
TalentJR

How to solve it (Balance): Bring the x terms to one side and the plain numbers to the other (change the sign when you move a term across). Divide both sides by the number in front of x (or multiply if x is divided). Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.If 5x + 2 = 12, what is x? (a) 10 (b) 3 (c) 2 (d) 1
  2. 2.If 5x + 5 = 45, what is x? (a) 40 (b) 10 (c) 8 (d) 9
  3. 3.If x/2 + 4 = 11, what is x? (a) 18 (b) 7 (c) 30 (d) 14
  4. 4.If 5x + 14 = 24, what is x? (a) 10 (b) 3 (c) 1 (d) 2
  5. 5.If 6x − 6 = 12, what is x? (a) 18 (b) 4 (c) 3 (d) 1
  6. 6.If 5x − 36 = 19, what is x? (a) 55 (b) 12 (c) 10 (d) 11
  7. 7.If 6x + 18 = 60, what is x? (a) 42 (b) 8 (c) 13 (d) 7
  8. 8.If x/6 + 13 = 25, what is x? (a) 228 (b) 137 (c) 12 (d) 72
  9. 9.If 3x + 6 = 2x + 13, what is x? (a) 8 (b) 19 (c) 9 (d) 7
  10. 10.If 4x − 20 = 4, what is x? (a) 24 (b) 5 (c) 6 (d) 7
  11. 11.If 4x + 4 = 2x + 22, what is x? (a) 10 (b) 3 (c) 9 (d) 13
  12. 12.If 2x + 3 = 21, what is x? (a) 12 (b) 18 (c) 9 (d) 10
  13. 13.If 4x + 27 = 59, what is x? (a) 32 (b) 8 (c) 7 (d) 9
  14. 14.If 6x + 30 = 42, what is x? (a) 12 (b) 3 (c) 2 (d) 1
  15. 15.If 2x − 1 = 5, what is x? (a) 2 (b) 3 (c) 4 (d) 6
  16. 16.If 4x + 16 = 52, what is x? (a) 10 (b) 17 (c) 9 (d) 36
  17. 17.If x/5 + 1 = 6, what is x? (a) 29 (b) 35 (c) 25 (d) 5
  18. 18.If 6x + 15 = 4x + 23, what is x? (a) 19 (b) 4 (c) 6 (d) 5
  19. 19.If 2x + 1 = 7, what is x? (a) 3 (b) 2 (c) 6 (d) 4
  20. 20.If 8x − 46 = 10, what is x? (a) 6 (b) 56 (c) 8 (d) 7
  21. 21.If 3x − 2 = 4, what is x? (a) 1 (b) 6 (c) 2 (d) 3
  22. 22.If x/4 + 4 = 9, what is x? (a) 5 (b) 32 (c) 20 (d) 52
  23. 23.If 2x + 23 = 39, what is x? (a) 8 (b) 31 (c) 16 (d) 9
  24. 24.If 3x + 6 = 51, what is x? (a) 45 (b) 19 (c) 16 (d) 15
  25. 25.If x/2 + 3 = 8, what is x? (a) 13 (b) 5 (c) 10 (d) 22
  26. 26.If 5x + 26 = 101, what is x? (a) 15 (b) 14 (c) 16 (d) 75
  27. 27.If 9x + 1 = 3x + 67, what is x? (a) 11 (b) 10 (c) 13 (d) 12
  28. 28.If 2x − 15 = 15, what is x? (a) 15 (b) 16 (c) 30 (d) 14
  29. 29.If 8x + 12 = 7x + 21, what is x? (a) 33 (b) 9 (c) 10 (d) 11
  30. 30.If x/2 + 9 = 20, what is x? (a) 22 (b) 31 (c) 11 (d) 58
  31. 31.If 8x + 2 = 4x + 30, what is x? (a) 6 (b) 7 (c) 9 (d) 8
  32. 32.If 4x + 7 = 67, what is x? (a) 60 (b) 15 (c) 16 (d) 14
  33. 33.If 2x + 17 = 35, what is x? (a) 18 (b) 10 (c) 26 (d) 9
  34. 34.If 9x − 73 = 35, what is x? (a) 108 (b) 12 (c) 13 (d) 11
  35. 35.If 9x + 14 = 6x + 29, what is x? (a) 6 (b) 7 (c) 1 (d) 5
  36. 36.If 4x + 11 = 19, what is x? (a) 8 (b) 2 (c) 3 (d) 1
  37. 37.If 2x + 20 = 44, what is x? (a) 12 (b) 24 (c) 32 (d) 13
  38. 38.If 8x − 17 = 47, what is x? (a) 64 (b) 7 (c) 9 (d) 8
  39. 39.If x/2 + 12 = 20, what is x? (a) 8 (b) 28 (c) 64 (d) 16
  40. 40.If 5x + 8 = 78, what is x? (a) 14 (b) 70 (c) 13 (d) 15

Answer key

  1. 2
  2. 8
  3. 14
  4. 2
  5. 3
  6. 11
  7. 7
  8. 72
  9. 7
  10. 6
  11. 9
  12. 9
  13. 8
  14. 2
  15. 3
  16. 9
  17. 25
  18. 4
  19. 3
  20. 7
  21. 2
  22. 20
  23. 8
  24. 15
  25. 10
  26. 15
  27. 11
  28. 15
  29. 9
  30. 22
  31. 7
  32. 15
  33. 9
  34. 12
  35. 5
  36. 2
  37. 12
  38. 8
  39. 16
  40. 14

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